{"product_id":"9783034802734","title":"Non-vanishing of L-Functions and Applications (Modern Birkh\u0026#228;user Classics) (Reprint of the 1997)","description":"This volume develops methods for proving the non-vanishing of certain L-functions at points in the critical strip. It begins at a very basic level and continues to develop, providing readers with a theoretical foundation that allows them to understand the latest discoveries in the field.\u003cbr\u003e \u003cp\u003eThis book systematically develops some methods for proving the non-vanishing of certain L-functions at points in the critical strip. Researchers in number theory, graduate students who wish to enter into the area and non-specialists who wish to acquire an introduction to the subject will benefit by a study of this book. One of the most attractive features of the monograph is that it begins at a very basic level and quickly develops enough aspects of the theory to bring the reader to a point where the latest discoveries as are presented in the final chapters can be fully appreciated.\u003c\/p\u003e\u003cp\u003e---------\u003c\/p\u003e\u003cp\u003e\u003ci\u003eThis book has been awarded the Ferran Sunyer I Balaguer 1996 prize (...)The deepest results are contained in Chapter 6 on quadratic twists of modular L-functions with connections to the Birch-Swinnerton-Dyer conjecture. (...) [It] is well-suited and stimulating for the graduate level because there is a wealth of recent results and open problems, and also a number of exercices and references after each chapter.\u003c\/i\u003e\u003c\/p\u003e\u003cp\u003e(Zentralblatt MATH)\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e\u003ci\u003eEach chapter is accompanied by exercices, and there is a fair amount of introductory material, general discussion and recommended reading. (...) it will be a useful addition to the library of any serious worker in this area.\u003c\/i\u003e\u003c\/p\u003e\u003cp\u003e(Mathematical Reviews)\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e\u003ci\u003e(...) well written monograph, intended not only for researchers and graduate students specializing in number theory, but also for non-specialists desiring to acquire an introduction to this difficult but very attractive and beautiful domain of investigation.\u003c\/i\u003e\u003c\/p\u003e\u003cp\u003e(Mathematica)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e 1 The Prime Number Theorem and Generalizations.- 2 Artin L-Functions.- 3 Equidistribution and L-Functions.- 4 Modular Forms and Dirichlet Series.- 5 Dirichlet L-Functions.- 6 Non-Vanishing of Quadratic Twists of Modular L-Functions.- 7 Selberg's Conjectures.- 8 Suggestions for Further Reading. \u003cp\u003eM. Ram Murty is a Professor of Mathematics at the Queen's University in Kingston, ON, Canada. \u003c\/p\u003e \u003cp\u003eV. Kumar Murty is a Professor of Mathematics at the University of Toronto.\u003c\/p\u003e \u003cp\u003eFrom the book reviews:\u003c\/p\u003e\"This is the softcover reprint of a monograph that was awarded the Ferran Sunyer i Balaguer prize in 1996. It is devoted to a recurring theme in number theory, namely that the non-vanishing of L-functions implies important arithmetical results. ... Giving a well-informed overview of related results it will continue to be an important source of information for graduate students and researchers ... .\" (Ch. Baxa, Monatshefte für Mathematik, 2014)","brand":"Birkh\u0026#228;user","offers":[{"title":"Default Title","offer_id":49171623444707,"sku":"00000_00000_00000_00000","price":89.99,"currency_code":"USD","in_stock":true}],"url":"https:\/\/usa.kinokuniya.com\/products\/9783034802734","provider":"Books Kinokuniya USA","version":"1.0","type":"link"}